On attractors for a sharp interface model of exothermic phase transitions

M. Frankel; V. Roytburd

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arXiv · nlin/0308001

On attractors for a sharp interface model of exothermic phase transitions

M. Frankel·V. Roytburd

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Abstract

We study a free interface problem related to combustion of condensed matter and some non-equilibrium exothermal phase transitions. In spite of a variety of non-trivial dynamical scenarios exhibited by the model the solutions are uniformly bounded and the interface velocity is a smooth function. The main result of the paper establishes existence of a compact connected attractor for the classical solutions of the problem. Numerical evidence leads to the conjecture that the fractal dimension of the attractor is finite.

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M. Frankel, V. Roytburd. 2003-07-31. On attractors for a sharp interface model of exothermic phase transitions. https://arxiv.org/abs/nlin/0308001

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